Pith Number

pith:GJZE2WKI

pith:2026:GJZE2WKIUO2THGJ67VB7A6YLVA

not attested not anchored not stored refs pending

Complex yet Hermitian: Gaussian covariance of cross-correlation and multi-tracer power spectra

Emiliano Sefusatti, Federico Montano, Mohamed Yousry Elkhashab, Stefano Camera

arxiv:2606.12551 v1 · 2026-06-10 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJZE2WKIUO2THGJ67VB7A6YLVA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-12T00:07:54.352672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32724d5948a3b533993efd43f07b0ba8111c5908549e24dd79556cebbe86472e

Aliases

arxiv: 2606.12551 · arxiv_version: 2606.12551v1 · doi: 10.48550/arxiv.2606.12551 · pith_short_12: GJZE2WKIUO2T · pith_short_16: GJZE2WKIUO2THGJ6 · pith_short_8: GJZE2WKI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GJZE2WKIUO2THGJ67VB7A6YLVA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 32724d5948a3b533993efd43f07b0ba8111c5908549e24dd79556cebbe86472e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621d74ed8fef8beccb0210ad182eaf9b2e0a6b8d579218da53d23a3cbeb2a11c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-06-10T18:02:40Z",
    "title_canon_sha256": "9f8332690b06746ca598751d650a747fa3b4d5436ae66db33cd9f29a0d2f94b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12551",
    "kind": "arxiv",
    "version": 1
  }
}